Gödel and the Incompleteness of Arithmetic

dc.contributor.authorPinheiro
dc.date.accessioned2016-07-25T06:11:33Z
dc.date.available2016-07-25T06:11:33Z
dc.date.issued2016-07
dc.description.abstractPeople normally believe that Arithmetic is not complete because GÖdel launched this idea a long time ago, and it looks as if nobody has presented sound evidence on the contrary. We here intend to do that perhaps for the first time in history. We prove that what Stanford Encyclopedia has referred to as Theorem 3 cannot be true, and, therefore, if nothing else is presented in favour of GÖdel’s thesis, we actually do not have evidence on the incompleteness of Arithmetic: All available evidence seems to point at the extremely opposite direction.en_US
dc.identifier.urihttp://dx.doi.org/10.4236/apm.2016.68042
dc.identifier.urihttp://hdl.handle.net/123456789/885
dc.language.isoenen_US
dc.publisherScientific Research Publishingen_US
dc.relation.ispartofseriesAdvances in Pure Mathematics, 2016, 6, 537-545;
dc.subjectGödelen_US
dc.subjectArithmeticen_US
dc.subjectPeanoen_US
dc.subjectAxiomen_US
dc.subjectClassical Logicen_US
dc.titleGödel and the Incompleteness of Arithmeticen_US
dc.typeArticleen_US
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